Mathematics for Life Science and Medicine

1. Auflage. Softcover version of original hardcover Auflage 2007
ISBN: 978-3-642-07077-8
Verlag: Springer

Buch, Englisch, 228 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 371 g

Reihe: Biological and Medical Physics, Biomedical Engineering

Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease model, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.

Zielgruppe

Research

Autoren/Hrsg.

Takeuchi, Yasuhiro

Sato, Kazunori

Iwasa, Yoh

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Biowissenschaften Biowissenschaften
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizinische Mathematik & Informatik
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Klinische und Innere Medizin Immunologie
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biophysik
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizinische Fachgebiete Medizinische Mikrobiologie & Virologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Naturwissenschaften Physik Angewandte Physik Biophysik

Inhaltsverzeichnis

Mathematical Studies of Dynamics and Evolution of Infectious Diseases.- Basic Knowledge and Developing Tendencies in Epidemic Dynamics.- Delayed SIR Epidemic Models for Vector Diseases?.- Epidemic Models with Population Dispersal.- Spatial-Temporal Dynamics in Nonlocal Epidemiological Models.- Pathogen Competition and Coexistence and the Evolution of Virulence.- Directional Evolution of Virus Within a Host Under Immune Selection.- Stability Analysis of a Mathematical Model of the Immune Response with Delays.- Modeling Cancer Treatment Using Competition: A Survey.

Über Autor(innen)

Y.Takeuchi is a professor of Systems Engineering Department at Shizuoka University, Japan, where he has been on the faculty since 1979. He received his B.Eng.(1974), M.Eng.(1976) and Ph.D.(1979) at Kyoto University. In 1986, 1992, 1998, 2000 and 2002, Dr. Takeuchi was a visiting professor at Universita di Urbino, and in 1987-1988, at University of Alberta.

Y. Iwasa is a professor of Department of Biology, Faculty of Sciences, Kyushu University, Japan, where he has been on the faculty since 1985. He received his B.S.(1975), M.Eng.(1977) and Ph.D.(1980) at Kyoto University. In 2003 and 2004, Dr. Iwasa was a visiting professor at Harvard University, and in 2002-2003 a member of Institute of Advanced Study, Princeton.

K. Sato is an associate professor of Systems Engineering Department at Shizuoka University, Japan, where he has been on the faculty since 1996. He received his B.Sci.(1988) at University of Tsukuba, M.Sci.(1990) and Ph.D.(1993) at Kyushu University. From 1994 to 1996, Dr. Sato was a lecturer and an associate professor at Muroran Institute of Technology.